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Finding the Fourth Proportional to 4,199.88, 5,797.63 and 2,989.35

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Solution

The fourth proportional to 4,199.88, 5,797.63 and 2,989.35 is: 4,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.88 : 5,797.63 = 2,989.35 : x
  2. Step 2: Convert to fraction form
    4,199.88/5,797.63 = 2,989.35/x
  3. Step 3: Cross multiply
    4,199.88x = 5,797.63 × 2,989.35
  4. Step 4: Simplify right side
    4,199.88x = 17,331,145.24
  5. Step 5: Solve for x
    x = 17,331,145.24/4,199.88
  6. Step 6: Final answer
    x = 4,126.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.